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Wave guides Wave guides are used to carry electromagnetic waves. Wave guide is a hollow metallic tube which can be used to transmit the EM waves where in the transmission due to the reflections from the inner sides of the tube. The traveling distance of waves in wave guides depends on the frequency of the wave. Higher frequency waves travel longer distances through guides than lower ones. i) Case of high frequency wave - high incident angle ii) Case of medium frequency wave iii) Case of low frequency wave BUT……………….,Wave guides will carry or propagate signals above a certain frequency, known as CUT OFF frequency, below which the wave transmission is not possible. ….. no wave By solving Maxwell's equations by subjected to appropriate boundary conditions at the walls of the wave guides. Such solutions rise to a number of field configurations. Each configuration is known as a mode. When EM wave passes through the wave guide, one can define the electromagnetic configurations with in the wave guide. The electromagnetic configurations would be i) Hz = 0 and presence of Ez ----------called as TM mode or ELECTRIC WAVES. ii) Ez =0 but presence of Hz MAGNETIC WAVES ------------ Transverse Electric modes or What is TEM mode? TEM means transverse Electromagentic wave where in both of Electric and magnetic fields will become zero at one point. Wave guides… Shape only matters……….. Rectangular wave guides are the earliest wave guides of transmission lines. These are used in many applications such as isolaters, detectors, attenuators for various standard wave guide bands of 1GHz to 220GHz. Rectangular wave guide can support TE and TM modes but not TEM because one can not define a unique voltage since there is only one conductor in wave guide. The cut-off frequency in Rectangular wave guide is (TE 1,0) The cut-off wave length in Rectangular wave guide is At given operating frequency, only those frequencies which are above cut-off frequency will propagate. The below frequencies will not propagate that means they will decay exponentially and this modes are called cut-off modes. The dominant mode of propagation (TE11) in circular waveguide of radius ‘a’ ƛc = 2πa/1.814 The dominant mode of propagation (TM01) in circular waveguide of radius ‘a’ ƛc = 2πa/2.405 Applications Optical fibers transmit light and signals for long distances and with a high signal rate. In a microwave oven a waveguide transfers power from the magnetron, where waves are formed, to the cooking chamber. In a radar, a waveguide transfers radio frequency energy to and from the antenna, where the impedance needs to be matched for efficient power transmission. A waveguide called a stripline can be created on a printed circuit board, and is used to transmit microwave signals on the board. Waveguides are used in scientific instruments to measure optical, acoustic and elastic properties of materials and objects.